Instructions...
Download this add-on for firefox.
Latex Composer
https://addons.mozilla.org/en-US/firefox/addon/4082/
For the unaware, Latex is a universally used typesetting software for maths documents.
Now look at the very bottom right of your browser.
Should be a small round symbol thing like this ---> .
Clicking this brings up the compiler.
Now you can enter code that produces math output.
Now posting the code here won't convert it into math output since this site doesn't have Latex installed but...
If you just copy and paste the code here, others can again copy and paste it into the compiler to see your formulas and what not.
So folks... Whats your maths experience? Area of interest etc!
For me,
Dynamical system, methods of integration, asymptotic methods and maths biology are my areas of interest. Just graduated 2 weeks ago. Feels good man... Going for a masters now as well.
\Gamma(z) = \int_0^\infty t^{z-1} e^{-t}\,dt
|
-
07-13-2010, 02:23 PM #1
Math thread! Come in and have some pi...
-
07-13-2010, 02:28 PM #2
-
07-13-2010, 02:36 PM #3
Being from UK I'm not quite sure what Calc 1 and 2 are... Perhaps an example of what's in it?
As for maths biology...
It's basically a combination of dynamical systems and differentiation.
I wouldn't have thought you would have covered dynamical systems yet but...
From wiki
The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ******t space. Examples include the mathematical models that describe the swinging of a clock pendulum, the flow of water in a pipe, and the number of fish each spring in a lake.
So basically how stuff changes as parameters change.
Like populations. And you find limiting populations, where any more people/things introduced into the environment will cause them to die out due to resources etc.
Stuff like that!
-
07-13-2010, 02:41 PM #4
-
-
07-13-2010, 06:30 PM #5
-
07-13-2010, 06:44 PM #6
-
07-13-2010, 06:46 PM #7
-
07-14-2010, 02:21 PM #8
-
-
07-14-2010, 03:00 PM #9
- Join Date: Aug 2009
- Location: United Kingdom (Great Britain)
- Age: 34
- Posts: 1,151
- Rep Power: 849
The fundamental idea of partial derivatives is any function which isn't being partially derived is treated as a constant.
eg, supposed a function such as
f(x) + f(¬x) --- (¬x == not x).
the partial derivative treats f(¬x) as a constant, so, the partial derivative of the function becomes
f'(x)
remember the derivative of any constant is 0.
So going back to your question, observe that your function has two parts
15y = f(y)
sqrt(x) = x^1/2 = f(x)
so the partial derivative d/dx of 15y + sqrt(x) = d/dx f(y) + f(x) = f'(x) = 1/2 x ^(-1/2)If you do what you've always done, you'll get what you always got
-
07-14-2010, 03:50 PM #10
-
07-14-2010, 06:44 PM #11
-
07-14-2010, 10:04 PM #12
geometric topology is a pretty big field. i'm still 2 years away, so right now i just read a lot of literature (there's no textbooks at this point... just papers) to try and learn the material. focusing primarily on coxeter systems, mostly just because that's what my major advisor is interested in, lol.
-
-
07-15-2010, 11:06 AM #13
When differentiating with respect to K here (for example), treat everything else as a constant.
So just remember the rules...
If f(x) = x^k
Then f'(x) = kx^(k-1) (see here http://en.wikipedia.org/wiki/Derivat...tary_functions)
In the K case, it would be.
Y = AK^a L^1-a
Derivative with respect to K is...
AaK^(a-1)L^(1-a)
(To view a better version paste the below code into the add-on compiler from the first post)
A \alpha K^{\alpha-1} L^{1-\alpha}
-
07-22-2010, 05:13 PM #14
-
07-22-2010, 05:29 PM #15
The farthest I ever got was the 2nd semester of differential equations.
Both I thought were pretty easy compared to the hell that is Calc II.
Calc II largely is dependent on the teacher teaching it. My first time attempting Calc II we had a new teacher to the university from Harvard and he wrote the text book. This guy had crazy ridiculous standards. He didn't even give partial credit on tests. It was either all right or all wrong. I am so glad I dropped that class and made it up over the summer.
-
07-22-2010, 05:35 PM #16
-
-
07-22-2010, 05:39 PM #17
-
07-22-2010, 06:00 PM #18
-
07-22-2010, 06:32 PM #19
They won;t cover it... actually I am not even sure they cover it in any undergrad course.
How they work is:
Suppose you want to take the derivative of a function f, call it Df.
Then D is an *operator* that maps a function f to another function Df.
We write this as f --> Df, kinda.
If you want to find a 1/2 derivative, then the idea is to find an operator H such that
H^2= H H = D. Then applying H to f to get f --> Hf we would say that Hf is the half derivative of f.
actually just wiki it, they have latex and explains it pretty well
-
07-22-2010, 06:50 PM #20
-
-
07-22-2010, 08:21 PM #21
-
08-07-2010, 07:02 AM #22
-
08-07-2010, 07:06 AM #23
-
08-07-2010, 07:48 AM #24
-
-
08-07-2010, 10:37 AM #25
Ah cool. How's number theory going? I found it mind boggling but ended up doing pretty well in it. What's in foundations of maths, epsilon-delta proofs?
Yeah, but! Read my OP again. It's a add on that lets you preview latex within firefox. Download the add on, type up some math in it, then paste the code for it here. Others can then copy and paste the code into the add on to see your formulas.
-
08-07-2010, 12:17 PM #26
- Join Date: Sep 2007
- Location: Tallahassee, Florida, United States
- Posts: 26,396
- Rep Power: 39166
-
08-07-2010, 01:20 PM #27
-
08-07-2010, 02:06 PM #28
-
-
08-07-2010, 02:28 PM #29
Fuuuuuuuuuuuuuu stoch mods brings back bad memories.
Had a stoch mod course 2 years ago. Lecturer was diabolical. Just strolled into class and started writing up matrices and recurrence relations. No headings or examples so no one had any idea what we were doing.
Gave us 12 tutorial questions all year (as a comparison, the next smallest amount by a class was 52, Algebra gave out 16-20 practice/tutorial questions per week). Told us past papers would be nothing like exam (which they weren't), didn't give us practice papers etc...
Exam came. All questions were on stuff we grazed over briefly and had no practice on (anyone who has done maths knows doing 100s of Qs is the way to learn stuff...)
As a result, over half the class got less than 40%. Myself included, however they had to give a lot of us credits since everything was scaled down so much.
A lot of the concepts seemed pretty interesting though! Markov chains and the like, just that class dampened my potential enjoyment of it.
-
08-07-2010, 02:46 PM #30
I was a chem major... physical chemistry doesn't use math that is very complicated. It's intense because there are a ton of different formulas to know (for basic classes) and as you go up in it you start incorporating a lot of quantum mechanics. In terms of the actual math used, though, it's not that complex; just a lot of different things.
Similar Threads
-
First time cutting, and have some quesitons.
By K.C. Sparrow in forum Workout ProgramsReplies: 5Last Post: 06-15-2003, 08:40 PM -
First time cutting and have some questions.
By K.C. Sparrow in forum NutritionReplies: 2Last Post: 06-15-2003, 05:02 PM
Bookmarks